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papers

Publications (4)

math.AG2022

A generalisation of the toric resolution of curves

Simone Muselli

Let $k$ be a perfect field and let $C_{0} : f = 0$ be a smooth curve in the torus $G_{m, k}^{2}$ . Let $T_{I^} $ be the toric variety associated to the Newton polygon of $f$ .…

math.NT2022

Regular models of hyperelliptic curves

Simone Muselli

Let $K$ be a complete discretely valued field of residue characteristic not $2$ and $O_{K}$ its ring of integers. We explicitly construct a regular model over $O_{K}$ with strict norma…

math.NT2022

Models and Integral Differentials of Hyperelliptic Curves

Simone Muselli

Let $C : y^{2} = f (x)$ be a hyperelliptic curve of genus $g \geq 1$ , defined over a complete discretely valued field $K$ , with ring of integers $O_{K}$ . Under certain conditions on $C$ , mi…

math.NT2021

A user's guide to the local arithmetic of hyperelliptic curves

Alex J. Best, L. Alexander Betts, Matthew Bisatt +8

A new approach has been recently developed to study the arithmetic of hyperelliptic curves $y^{2} = f (x)$ over local fields of odd residue characteristic via combinatorial data associa…